Question

Two bodies in circular paths of radii 1:3 take same time to complete their circles.
Find the ratio of their linear speeds

Answer 1

Answer:

See here in the question they had asked about speed not velocity if they had asked velocity then answer will be different which will be based on rotation.....

Explanation:

So here as radius is in ratio of 1:3 so we say that small circle has radius r then bigger circle will have radius 3r...

So now as speed=distance/time and both had taken same time.

and let speed of smaller body be S1 and larger body be S2

So

$s1 = 2\pi r \div time$

why i had taken 2Πr because it is the distance covered which will be equal to circumference of circle....

$s2 = 2\pi \times 3r \div time$

As both had taken same time....

Now s1/s2 = 1/3 .....i had solved it got that,......i hope u can do that dividing part...

I wish it will surely help you and will clear your doubt......